ABSTRACT We show that any neighbourhood of a non-degenerate reversible bifocal homoclinic orbit contains chaotic suspended invariant sets on N-symbols for all . This will be achieved by showing switching associated with networks of secondary homoclinic orbits. We also prove the existence of super-homoclinic orbits (trajectories homoclinic to a network of homoclinic orbits), whose presence leads to a particularly rich structure.

中文翻译：

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可逆同宿双焦点附近的混沌

摘要 我们证明了非简并可逆双焦同宿轨道的任何邻域都包含 N 符号上所有 的混沌悬浮不变集。这将通过显示与次生同宿轨道网络相关的转换来实现。我们还证明了超同宿轨道（同宿轨道网络同宿轨道）的存在，它的存在导致了一个特别丰富的结构。